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St Petersburg Mathematical Journal
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Preprint . 2003
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St Petersburg Mathematical Journal
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https://dx.doi.org/10.48550/ar...
Article . 2003
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Semiclassical analysis of a nonlinear eigenvalue problem and nonanalytic hypoellipticity

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 14 Mar 2006Embargo end date: 01 Jan 2003Publisher:American Mathematical Society (AMS)Journal:St. Petersburg Mathematical Journal, volume 16, pages 285-297 (issn: 1061-0022, Copyright policy )
Authors: Bernard Helffer; Xue Ping Wang; Didier Robert;

doi: 10.1090/s1061-0022-04-00851-9 , 10.48550/arxiv.math/0304201

arXiv: http://arxiv.org/abs/math/0304201

Semiclassical analysis of a nonlinear eigenvalue problem and nonanalytic hypoellipticity

Abstract

We give a semiclassical analysis of a nonlinear eigenvalue problem arising from the study of the failure of analytic hypoellipticity and obtain a general family of hypoelliptic, but not analytic hypoelliptic operators.

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Keywords

Mathematics - Spectral Theory, Mathematics - Analysis of PDEs, Hypoelliptic equations, analytic hypoellipticity, Scattering theory for PDEs, FOS: Mathematics, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, Spectral Theory (math.SP), semiclassical analysis, Analysis of PDEs (math.AP)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
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Average
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